Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper.
Dice the sweet potato into small half-inch cubes, slice the carrot into rounds, and chop the zucchini into thick half-moons.
Place the chicken breast, sweet potatoes, carrots, broccoli, and zucchini on the prepared sheet pan.
Mince the garlic and whisk it in a small bowl with the olive oil, rosemary, thyme, sea salt, and black pepper.
Drizzle the herb oil over the chicken and vegetables, tossing everything thoroughly to ensure an even coating.
Spread the ingredients out in a single layer so they roast rather than steam.
Bake for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the sweet potatoes are fork-tender.
Remove from the oven and let the chicken rest for 5 minutes before slicing and serving.